English

Explicit solution simulation method for the 3/2 model

Computational Finance 2021-01-12 v2

Abstract

An explicit weak solution for the 3/2 stochastic volatility model is obtained and used to develop a simulation algorithm for option pricing purposes. The 3/2 model is a non-affine stochastic volatility model whose variance process is the inverse of a CIR process. This property is exploited here to obtain an explicit weak solution, similarly to Kouritzin (2018). A simulation algorithm based on this solution is proposed and tested via numerical examples. The performance of the resulting pricing algorithm is comparable to that of other popular simulation algorithms.

Keywords

Cite

@article{arxiv.2009.09058,
  title  = {Explicit solution simulation method for the 3/2 model},
  author = {Iro René Kouarfate and Michael A. Kouritzin and Anne MacKay},
  journal= {arXiv preprint arXiv:2009.09058},
  year   = {2021}
}

Comments

21 pages, 2 figures

R2 v1 2026-06-23T18:39:14.854Z